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MHT CET 2025 (5 May, Shift 2) · Thermodynamic Processes

Thermodynamic Processes question from MHT CET 2025 (5 May, Shift 2)

Q79MHT CET 2025 · 5 MAY · SHIFT 2Medium

Thermodynamic Processes

A gas having $\gamma = \frac{5}{2}$ and volume 360 c.c. is suddenly compressed to 90 c.c. If the initial pressure of the gas is P, then the final pressure will be

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Answer: (d)

Sudden compression is adiabatic: $P_2 = P\left(\frac{V_1}{V_2}\right)^\gamma$ .
$\frac{V_1}{V_2} = \frac{360}{90} = 4$ , so $P_2 = P \cdot 4^{5/2} = P \cdot 2^5 = 32P$
So the answer is (d) $32P$ .

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